2300104778400 has 1296 divisors, whose sum is σ = 9826250642208. Its totient is φ = 502632345600.

The previous prime is 2300104778393. The next prime is 2300104778423. The reversal of 2300104778400 is 48774010032.

It is a happy number.

2300104778400 is a `hidden beast` number, since 230 + 0 + 10 + 4 + 7 + 7 + 8 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 486998439 + ... + 487003161.

Almost surely, 2^{2300104778400} is an apocalyptic number.

2300104778400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2300104778400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4913125321104).

2300104778400 is an abundant number, since it is smaller than the sum of its proper divisors (7526145863808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2300104778400 is a wasteful number, since it uses less digits than its factorization.

2300104778400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4827 (or 4800 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

Adding to 2300104778400 its reverse (48774010032), we get a palindrome (2348878788432).

The spelling of 2300104778400 in words is "two trillion, three hundred billion, one hundred four million, seven hundred seventy-eight thousand, four hundred".